1085601090 has 128 divisors (see below), whose sum is σ = 3157475328. Its totient is φ = 233591040.

The previous prime is 1085601071. The next prime is 1085601103. The reversal of 1085601090 is 901065801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238617 + ... + 243123.

It is an arithmetic number, because the mean of its divisors is an integer number (24667776).

Almost surely, 2^1085601090 is an apocalyptic number.

1085601090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085601090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578737664).

1085601090 is an abundant number, since it is smaller than the sum of its proper divisors (2071874238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1085601090 is a wasteful number, since it uses less digits than its factorization.

1085601090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592.

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 1085601090 is about 32948.4611173269. The cubic root of 1085601090 is about 1027.7561641901.

Adding to 1085601090 its reverse (901065801), we get a palindrome (1986666891).

The spelling of 1085601090 in words is "one billion, eighty-five million, six hundred one thousand, ninety".